3x^4-21x^3+33x^2=0

Simple and best practice solution for 3x^4-21x^3+33x^2=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 3x^4-21x^3+33x^2=0 equation:


Simplifying
3x4 + -21x3 + 33x2 = 0

Reorder the terms:
33x2 + -21x3 + 3x4 = 0

Solving
33x2 + -21x3 + 3x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(11 + -7x + x2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(11 + -7x + x2)' equal to zero and attempt to solve: Simplifying 11 + -7x + x2 = 0 Solving 11 + -7x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + -7x + -11 + x2 = 0 + -11 Reorder the terms: 11 + -11 + -7x + x2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -7x + x2 = 0 + -11 -7x + x2 = 0 + -11 Combine like terms: 0 + -11 = -11 -7x + x2 = -11 The x term is -7x. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7x + 12.25 + x2 = -11 + 12.25 Reorder the terms: 12.25 + -7x + x2 = -11 + 12.25 Combine like terms: -11 + 12.25 = 1.25 12.25 + -7x + x2 = 1.25 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = 1.25 Calculate the square root of the right side: 1.118033989 Break this problem into two subproblems by setting (x + -3.5) equal to 1.118033989 and -1.118033989.

Subproblem 1

x + -3.5 = 1.118033989 Simplifying x + -3.5 = 1.118033989 Reorder the terms: -3.5 + x = 1.118033989 Solving -3.5 + x = 1.118033989 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + x = 1.118033989 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + x = 1.118033989 + 3.5 x = 1.118033989 + 3.5 Combine like terms: 1.118033989 + 3.5 = 4.618033989 x = 4.618033989 Simplifying x = 4.618033989

Subproblem 2

x + -3.5 = -1.118033989 Simplifying x + -3.5 = -1.118033989 Reorder the terms: -3.5 + x = -1.118033989 Solving -3.5 + x = -1.118033989 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + x = -1.118033989 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + x = -1.118033989 + 3.5 x = -1.118033989 + 3.5 Combine like terms: -1.118033989 + 3.5 = 2.381966011 x = 2.381966011 Simplifying x = 2.381966011

Solution

The solution to the problem is based on the solutions from the subproblems. x = {4.618033989, 2.381966011}

Solution

x = {0, 4.618033989, 2.381966011}

See similar equations:

| -9+11=13y-5-12y | | 10=(2)(-2)+2 | | -4-4x+3x^2=0 | | 3x-2+2x=-79/12 | | 11n-4-10n-2=11 | | 2/5(b-3)=0.8 | | 0.50x+0.35(30)=22.5 | | -1+11p=1+7p+4p | | 4m+17=5m+13 | | -4.4(x-4.5)=17.6 | | 2/7x+1/7=-3/7 | | 7x+3=-8+4x+17 | | 9.6(x-2.75)=19.2 | | 22-x=-2 | | 9y-19y=70 | | 48=16x^2+64x | | 1/3x+1=-2/3x+2 | | x+3/2--11-x/5=1+3x-1/20 | | 4x+1/3+5x=-7/6 | | 1/3x+4=x+2 | | 12+i/i | | 5(x-3)+6=4x+3 | | 7+x=5x+1 | | 6.4(x-3.25)=-19.2 | | x-2=2x-1 | | 48=-16x^2+64x | | -11+2r=4r+3 | | 3x=16x+7 | | 8+2x+1x=-19 | | 3x+7=8x-9 | | 6-(3+x)=10 | | y=-16x^2+64x |

Equations solver categories